Deterministic Equations of Motion and Phase Ordering Dynamics

Abstract

We numerically solve microscopic deterministic equations of motion for the 2D ${\varphi }^4$ theory with random initial states. Phase ordering dynamics is investigated. Dynamic scaling is found and it is dominated by a fixed point corresponding to the minimum energy of random initial states.

submit to Phys. Rev. E

References in corpus (6)

• Generalized Dynamic Scaling for Critical Magnetic Systems
• Deterministic Equations of Motion and Dynamic Critical Phenomena
• Geometry of dynamics and phase transitions in classical lattice phi^4 theories
• Hamiltonian Dynamics and the Phase Transition of the XY Model
• Hamiltonian dynamics of the two-dimensional lattice phi^4 model
• Microscopic Deterministic Dynamics and Persistence Exponent

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• Coarsening Kinetics of a Two Dimensional O(2) Ginzburg-Landau Model: Effect of Reversible Mode Coupling
• Hamiltonian equation of motion and depinning phase transition in two-dimensional magnets
• Differences in the scaling laws of canonical and microcanonical coarsening dynamics for long-range interacting systems